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Finding the Fourth Proportional to 364.07, 502.43 and 198.30

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Solution

The fourth proportional to 364.07, 502.43 and 198.30 is: 273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.07 : 502.43 = 198.30 : x
  2. Step 2: Convert to fraction form
    364.07/502.43 = 198.30/x
  3. Step 3: Cross multiply
    364.07x = 502.43 × 198.30
  4. Step 4: Simplify right side
    364.07x = 99,628.37
  5. Step 5: Solve for x
    x = 99,628.37/364.07
  6. Step 6: Final answer
    x = 273.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.